ACT Integrating Essential Skills. Practice it free.

This category focuses on the mathematical skills students need to use their knowledge in authentic, real-world contexts; questions primarily focus on concepts and skills students will likely encounter in everyday life. This All grades reporting domain maps to 46 practice skills and 8 representative questions from the playable bank.

All grades / ACT college-admissions test (skills typically acquired through beginning of grade 12)IES46 mapped skills
What the test measures

Integrating Essential Skills skills

  1. Recognize and appropriately use the mathematical skills and concepts necessary to solve real-world problems.

  2. Read and understand the words, numbers, symbols, diagrams, tables, and graphs in mathematical texts.

  3. Reason quantitatively.

  4. Identify relationships among quantities.

  5. Organize and analyze data presented in various forms.

  6. Solve real-world problems involving measurement, rates, ratios, percentages, and proportions.

  7. Translate a situation described in words into a mathematical expression, equation, or inequality.

  8. Apply mathematical models to solve problems.

  9. Use properties of numbers and operations.

  10. Use simple algebraic manipulations to solve problems.

Standards basis

ACT College and Career Readiness Standards (Mathematics) — national

How the ACT reports it

ACT’s math test is built around the ACT Mathematics reporting categories and ACT College and Career Readiness Standards rather than a state-specific framework. The official description says these standards are empirically derived and are the focus of ACT assessments, with modeling counted across categories.

Blueprint & weighting

Preparing for Higher Math 57%–60% total; Number and Quantity 7%–10%; Algebra 12%–15%; Functions 12%–15%; Geometry 12%–15%; Statistics and Probability 8%–12%; Integrating Essential Skills 40%–43%; Modeling is reported throughout and overlaps other categories.

Try it now

8 free questions · 0/0 correct

Practice playeasy

In a school zone, a car must travel at a speed of at most 35.035.0 miles per hour. A car is traveling at 38.238.2 miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?

The speed must be at most 35.035.0 miles per hour. The minimum decrease is 38.235.0=3.2.38.2 - 35.0 = 3.2\textsf{.}

Practice playeasy

What value of nn satisfies 5n8=175n - 8 = 17?

Add 88 to both sides: 5n=255n = 25. Divide both sides by 55: n=5n = 5.

Practice playeasy

What is (16)÷(4)(-16) \div (-4)?

Result: 44.

Practice playeasy

5050 is what percent of 100100?

50100=0.5=50%\frac{50}{100} = 0.5 = 50\%.

Practice playeasy

A restaurant bill is $72\text{\char36}72. What is a 15%15\% tip, in dollars?

Tip =0.15×72=10.80= 0.15 \times 72 = 10.80 dollars.

Practice playeasy

A passenger train traveled 348348 miles in 44 hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance ÷\div time: 3484=87\dfrac{348}{4} = 87 miles per hour.

Practice playeasy

Given a:b=5:2a:b = 5:2 and a=75a = 75, find bb.

ab=52\dfrac{a}{b} = \dfrac{5}{2}. With a=75a = 75, 75b=52\dfrac{75}{b} = \dfrac{5}{2}, so 5b=1505b = 150 and b=30b = 30.

Practice playeasy

Find the simple interest on $400\text{\char36}400 at 25%25\% per year for 11 year.

I=400×0.25×1=$100I = 400 \times 0.25 \times 1 = \$100.

Keep practicing

Turn integrating essential skills into game time.

The ACT placement starts with this test's real coverage map and finds the right difficulty.